Random dynamical systems generated by stochastic Navier-Stokes equations on a rotating sphere

被引：6
作者：
Brzezniak, Z. [1 ]
Goldys, B. [2 ]
Le Gia, Q. T. [3 ]
机构：
[1] Univ York, Dept Math, York Y010 5DD, N Yorkshire, England
[2] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia
[3] Univ New S Wales, Sch Math & Stat, Sydney, NSW 2052, Australia
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 426卷 / 01期
关键词：
Stochastic Navier-Stokes equations; Unit sphere; Random dynamical system; SEMIGROUPS; REGULARITY; MANIFOLDS; VECTOR; MOTION; SPACE;
D O I：
10.1016/j.jmaa.2015.01.054
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we first prove the existence and uniqueness of the solution to the stochastic Navier-Stokes equations on the rotating 2-dimensional unit sphere. Then we show the existence of an asymptotically compact random dynamical system associated with the equations. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：505 / 545
页数：41
相关论文
共 55 条
[1]  
[Anonymous], 1998, RANDOM DYNAMICAL SYS
[2]  
[Anonymous], 1996, LONDON MATH SOC LECT
[3]  
Aubin T., 1998, SOME NONLINEAR PROBL, pxviii+395
[4]  
AVEZ A, 1978, J MECANIQUE, V17, P107
[5]  
Bensoussan A., 1973, J FUNCT ANAL, V13, P195
[6]  
Breckner H., 2000, J. Appl. Math. Stoch. Anal, V133, P239
[7]  
Brzeniak Z., 1996, STOCH STOCH REP, V56, P1, DOI DOI 10.1080/17442509608834032
[8]   Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains [J].
Brzezniak, Z. ;
Caraballo, T. ;
Langa, J. A. ;
Li, Y. ;
Lukaszewicz, G. ;
Real, J. .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 255 (11) :3897-3919
[9]   Space-time regularity for linear stochastic evolution equations driven by spatially homogeneous noise [J].
Brzezniak, Z ;
van Neerven, J .
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2003, 43 (02) :261-303
[10]  
Brzezniak Z, 2001, ANN PROBAB, V29, P1796
123456